Problem: As a data analyst, you could use multiple linear regression to predict crop growth. You want to see how amount of rainfall, temperature, and amount of sunlight affects crop growth. An experiment with 20 sampling units was conducted obtaining the following data. Plot 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Crop Growth (mm/hr) 0.42 0.22 0.25 0.15 0.08 0.32 0.34 0.27 0.14 0.34 0.26 0.39 0.17 0.18 0.40 0.23 0.33 0.20 0.14 0.19 Rainfall (inches) 3.20 5.96 5.06 8.34 3.06 4.25 3.80 6.08 7.96 5.00 8.43 3.17 1.88 5.25 6.04 7.62 6.37 9.86 8.13 8.50 Temperature (°C) 34 18 22 13 27 19 23 32 35 30 39 19 40 16 13 17 20 9 11 9 Sunlight (hrs) 11 6 10 5 9 7 10 11 13 9 10 4 14 4 2 5 S9273 1. Identify the dependent and all independent variables. 2. Give the multiple linear regression model, in general form, for this problem and label your variables. 3. Compute for the partial regression coefficients, give the multiple linear regression with the coefficients and interpret the value of each coefficient.
Problem: As a data analyst, you could use multiple linear regression to predict crop growth. You want to see how amount of rainfall, temperature, and amount of sunlight affects crop growth. An experiment with 20 sampling units was conducted obtaining the following data. Plot 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Crop Growth (mm/hr) 0.42 0.22 0.25 0.15 0.08 0.32 0.34 0.27 0.14 0.34 0.26 0.39 0.17 0.18 0.40 0.23 0.33 0.20 0.14 0.19 Rainfall (inches) 3.20 5.96 5.06 8.34 3.06 4.25 3.80 6.08 7.96 5.00 8.43 3.17 1.88 5.25 6.04 7.62 6.37 9.86 8.13 8.50 Temperature (°C) 34 18 22 13 27 19 23 32 35 30 39 19 40 16 13 17 20 9 11 9 Sunlight (hrs) 11 6 10 5 9 7 10 11 13 9 10 4 14 4 2 5 S9273 1. Identify the dependent and all independent variables. 2. Give the multiple linear regression model, in general form, for this problem and label your variables. 3. Compute for the partial regression coefficients, give the multiple linear regression with the coefficients and interpret the value of each coefficient.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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answer 3 only.
use matrix notation.
Transcribed Image Text:Problem: As a data analyst, you could use multiple linear regression to predict crop growth.
You want to see how amount of rainfall, temperature, and amount of sunlight affects crop
growth. An experiment with 20 sampling units was conducted obtaining the following data.
Plot
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Crop Growth
(mm/hr)
0.42
0.22
0.25
0.15
0.08
0.32
0.34
0.27
0.14
0.34
0.26
0.39
0.17
0.18
0.40
0.23
0.33
0.20
0.14
0.19
Rainfall
(inches)
3.20
5.96
5.06
8.34
3.06
4.25
3.80
6.08
7.96
5.00
8.43
3.17
1.88
5.25
6.04
7.62
6.37
9.86
8.13
8.50
Temperature
(°C)
34
18
22
2628
13
27
19
23
32
35
30
39
19
40
9218
16
13
17
20
9
11
9
Sunlight
(hrs)
11
6
10
5
9
7
10
11
13
9
10
4
14
425
9
2
7
3
1. Identify the dependent and all independent variables.
2. Give the multiple linear regression model, in general form, for this problem and
label your variables.
3. Compute for the partial regression coefficients, give the multiple linear regression
with the coefficients and interpret the value of each coefficient.
4. Test the significance of the multiple linear regression model.
5. If the regression is significant in (4), identify which independent variable has
significant contribution in describing the dependent variable.
6. Compute for R² and Rådjand interpret your results.
7. What would be the expected crop growth rate when the amount of rainfall is 0
inches, amount of temperature is 37°C, and amount of sunlight is 12 hrs.?
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